Relativistic Theory of Hydrodynamic Fluctuations Joe Kapusta University of Minnesota Nuclear Physics Seminar October 21, 2011 Collaborators: Berndt Muller.

Slides:

Advertisements

Similar presentations

Mass, Quark-number, Energy Dependence of v 2 and v 4 in Relativistic Nucleus- Nucleus Collisions Yan Lu University of Science and Technology of China Many.

Advertisements

Supported by DOE 11/22/2011 QGP viscosity at RHIC and LHC energies 1 Huichao Song 宋慧超 Seminar at the Interdisciplinary Center for Theoretical Study, USTC.

Fluid Fluctuations in heavy ion collisions and cosmology Urs Achim Wiedemann CERN PH-TH Napa Valley, 4 Dec 2014 Report on one aspect (“backreaction”) of.

In relativistic heavy ion collisions a high energy density matter Quark-Gluon Plasma (QGP) may be formed. Various signals have been proposed which probe.

Forward-Backward Correlations in Relativistic Heavy Ion Collisions Aaron Swindell, Morehouse College REU 2006: Cyclotron Institute, Texas A&M University.

The speed of sound in a magnetized hot Quark-Gluon-Plasma Based on: Neda Sadooghi Department of Physics Sharif University of Technology Tehran-Iran.

Forward-Backward Correlations in Heavy Ion Collisions Aaron Swindell, Morehouse College REU Cyclotron 2006, Texas A&M University Advisor: Dr. Che-Ming.

We distinguish two hadronization mechanisms:  Fragmentation Fragmentation builds on the idea of a single quark in the vacuum, it doesn’t consider many.

Phase Fluctuations near the Chiral Critical Point Joe Kapusta University of Minnesota Winter Workshop on Nuclear Dynamics Ocho Rios, Jamaica, January 2010.

Generalized Entropy and Transport Coefficients of Hadronic Matter Azwinndini Muronga 1,2 1 Centre for Theoretical Physics & Astrophysics Department of.

Behind QGP Investigating the matter of the early Universe Investigating the matter of the early Universe Is the form of this matter Quark Gluon Plasma?

Christina Markert Physics Workshop UT Austin November Christina Markert The ‘Little Bang in the Laboratory’ – Accelorator Physics. Big Bang Quarks.

Baryon Strangeness correlatons : signals of a de-confined antecedent Abhijit Majumder Nuclear theory group, Lawrence Berkeley National Lab. In collaboration.

Heavy Ion Physics from RHIC to LHC Joe Kapusta University of Minnesota University of Seoul 19 April 2008.

Relativistic Heavy Ion Physics: the State of the Art.

Role of Viscosity in Relativistic Nuclear Collisions Joe Kapusta * University of Minnesota Montreal, 2007 * Collaborators: Laszlo Csernai, Larry McLerran...

Equations of State with a Chiral Critical Point Joe Kapusta University of Minnesota Collaborators: Berndt Muller & Misha Stephanov; Juan M. Torres-Rincon;

Quantum Black Holes and Relativistic Heavy Ions D. Kharzeev BNL 21st Winter Workshop on Nuclear Dynamics, Breckenridge, February 5-11, 2005 based on DK.

Flow fluctuation and event plane correlation from E-by-E Hydrodynamics and Transport Model LongGang Pang 1, Victor Roy 1,, Guang-You Qin 1, & Xin-Nian.

Strongly Interacting Low Viscosity Matter Created in Heavy Ion Collisions Joe Kapusta * University of Minnesota Quark Matter 2006, Shanghai, China * Original.

The effects of viscosity on hydrodynamical evolution of QGP 苏中乾大连理工大学 Dalian University of Technology.

Precision Probes for Hot QCD Matter Rainer Fries Texas A&M University & RIKEN BNL QCD Workshop, Washington DC December 15, 2006.

QGP and Hadrons in Dense medium: a holographic 2nd ATHIC based on works with X. Ge, Y. Matsuo, F. Shu, T. Tsukioka(APCTP), archiv:

Workshop for Particle Correlations and Femtoscopy 2011

November 18, Shanghai Anomalous Viscosity of an Expanding Quark-Gluon Plasma Masayuki ASAKAWA Department of Physics, Osaka University S. A.

Conical Flow induced by Quenched QCD Jets Jorge Casalderrey-Solana, Edward Shuryak and Derek Teaney, hep- ph/ SUNY Stony Brook.

EXPERIMENTAL EVIDENCE FOR HADRONIC DECONFINEMENT In p-p Collisions at 1.8 TeV * L. Gutay - 1 * Phys. Lett. B528(2002)43-48 (FNAL, E-735 Collaboration Purdue,

Future Perspectives on Theory at RBRC Color Glass Condensate: predictions for: "ridge", elliptical flow.... Quark-Gluon Plasma: fluctuations, effects of.

Akihiko Monnai Department of Physics, The University of Tokyo Collaborator: Tetsufumi Hirano V iscous Hydrodynamic Expansion of the Quark- Gluon Plasma.

Shear Viscosity and Viscous Entropy Production in Hot QGP at Finite Density 报告人：刘绘华中师范大学粒子所.

1 AdS/CFT Calculations of Parton Energy Loss Jorge Casalderrey-Solana Lawrence Berkeley National Lab. In collaboration with D. Teaney.

Early Time Evolution of High Energy Nuclear Collisions Rainer Fries Texas A&M University & RIKEN BNL Early Time Dynamics in Heavy Ion Collisions McGill.

Relativistic Heavy Ion Collider and Ultra-Dense Matter.

Flow fluctuation and event plane correlation from E-by-E Hydrodynamics and Transport Model Victor Roy Central China Normal University, Wuhan, China Collaborators.

Superhorizon Fluctuations And Acoustic Oscillations In Heavy Ion Collisions ref: Phys. Rev. C 77, (2008) P.S. Saumia Collaborators: A. P. Mishra,

PHOTONS AND EVOLUTION OF A CHEMICALLY EQUILIBRATING AND EXPANDING QGP AT FINITE BARYON DENSITY Shanghai Institute of Applied Physics Jiali Long, Zejun.

Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration.

Masakiyo Kitazawa （ Osaka U. ） Diffusion of Non-Gaussianity in Heavy Ion Collisions MK, Asakawa, Ono, arXiv: SQM, Birmingham, 23, July 2013.

Shear and Bulk Viscosities of Hot Dense Matter Joe Kapusta University of Minnesota New Results from LHC and RHIC, INT, 25 May 2010.

Results from an Integrated Boltzmann+Hydrodynamics Approach WPCF 2008, Krakau, Jan Steinheimer-Froschauer, Universität Frankfurt.

Heavy-Ion Physics - Hydrodynamic Approach Introduction Hydrodynamic aspect Observables explained Recombination model Summary 전남대 이강석 HIM

BFKL equation at finite temperature Kazuaki Ohnishi (Yonsei Univ.) In collaboration with Su Houng Lee (Yonsei Univ.) 1.Introduction 2.Color Glass Condensate.

The study on the early system just after Heavy Ion Collision Ghi R. Shin (with B. Mueller) Andong National University J.Phys G. 29, 2485/JKPS 43, 473 Korean-EU.

R. Lednicky: Joint Institute for Nuclear Research, Dubna, Russia I.P. Lokhtin, A.M. Snigirev, L.V. Malinina: Moscow State University, Institute of Nuclear.

HIM06-12 SHLee1 Some Topics in Relativistic Heavy Ion Collision Su Houng Lee Yonsei Univ., Korea 1.J. P. Blaizot 2.J. Kapusta 3.U. A. Wiedemann.

Light-Front Dynamic Application to the RHIC Physics Korea University, June 16, 2007 In collaboration with Prof. Byungsik Hong.

Nuclear Size Fluctuations in Nuclear Collisions V.Uzhinsky, A.Galoyan The first RHIC result – Large elliptic flow of particles.

Energy and  B dependence in heavy ion collisions D. Kharzeev BNL “From high  B to high energy”, BNL, June 5, 2006.

PhD student at the International PhD Studies Institute of Nuclear Physics PAN Institute of Nuclear Physics PAN Department of Theory of Structure of Matter.

Understanding the rapidity dependence of v 2 and HBT at RHIC M. Csanád (Eötvös University, Budapest) WPCF 2005 August 15-17, Kromeriz.

June 4, Tokyo Anomalous Viscosity of an Expanding Quark-Gluon Plasma Masayuki ASAKAWA Department of Physics, Osaka University S. A. Bass,

Flow and Dissipation in Ultrarelativistic Heavy Ion Collisions September 16 th 2009, ECT* Italy Akihiko Monnai Department of Physics, The University of.

3 rd Joint Meeting of the Nuclear Physics Divisions of the APS and the JPS October 15 th 2009, Hawaii USA Akihiko Monnai Department of Physics, The University.

Theory at the RIKEN/BNL Research Center initial state "Glasma" "Quark-Gluon Plasma" hadrons Cartoon of heavy ion collisions at high energy: (Now: RHIC.

Gauge/gravity duality in Einstein-dilaton theory Chanyong Park Workshop on String theory and cosmology (Pusan, ) Ref. S. Kulkarni,

Akihiko Monnai Department of Physics, The University of Tokyo Collaborator: Tetsufumi Hirano V iscous Hydrodynamic Evolution with Non-Boost Invariant Flow.

Chiho Nonaka QM2009 Nagoya University Chiho NONAKA March 31, Matter 2009, Knoxville, TN In collaboration with Asakawa, Bass, and Mueller.

Elliptic flow from initial states of fast nuclei. A.B. Kaidalov ITEP, Moscow (based on papers with K.Boreskov and O.Kancheli) K.Boreskov and O.Kancheli)

 Collision of heavy nuclei at relativistic energies leads to formation of Quark- Gluon Plasma (QGP).  Strong confirmation arises from the recent observation.

Status of AdS/QCD SangJin Sin KY.Kim, SJS, I.Zahed.

Review of ALICE Experiments

Introduction to Symmetry Analysis

Hydro + Cascade Model at RHIC

Properties of the Quark-Gluon Plasma

برخورد یون های سنگین در LHC همایش یک روزه فیزیک LHCبا تاکید بر هیگز

Kenji Fukushima (RIKEN BNL Research Center)

HIGH ENERGY NUCLEAR PHYSICS (Relativistic heavy ion collisions)

A possible approach to the CEP location

Relativistic heavy ion collisions

Status of AdS/QCD SangJin Sin

Presentation transcript:

Relativistic Theory of Hydrodynamic Fluctuations Joe Kapusta University of Minnesota Nuclear Physics Seminar October 21, 2011 Collaborators: Berndt Muller and Misha Stephanov

WMAP picture WMAP 7 years Fluctuations in temperature of cosmic microwave background radiation

WMAP7 Most cosmological information comes from fluctuations. Can something similar be done with heavy ion collisions?

Elliptic Flow Nonzero impact parameter b > 0: –Spatial anisotropy in the initial state –Momentum anisotropy in the final state coordinate space  momentum space Fourier analysis => v 2 = elliptic flow x y z

Correlations as observed by ALICE The Ridge!Jet fragmentation?

ALICE Decomposition into 5 Fourier modes

Sources of Fluctuations in High Energy Nuclear Collisions Initial state fluctuations Hydrodynamic fluctuations due to finite particle number Energy and momentum deposition by jets traversing the medium Freeze-out fluctuations

Hydrodynamic Fluctuations Hydrodynamic fluctuations (noise) have been applied to a wide variety of physical, chemical, and biological systems. There are fluctuations in high energy heavy ion collisions due to the finite size and finite particle content of the system.

Molecular Dynamics Lubrication Equation Stochastic Lubrication Equation

Relativistic Dissipative Fluid Dynamics In the Landau-Lifshitz approach u is the velocity of energy transport.

Extend Landau’s theory of hydrodynamic fluctuations to the relativistic regime Stochastic source Similar expressions arise in the Eckart approach.

Procedure Solve equations of motion for arbitrary source function Perform averaging to obtain correlations/fluctuations Stochastic fluctuations need not be perturbative

Example: Boost Invariant Bjorken Model Fluctuation Solution response function noise calculable and similarly for fluctuations in the local flow velocity…

In the small viscosity limit This leads to delta functions and their derivatives. Cause: Space-time delta functions (white noise) in the original correlation functions. Cure: Use finite range correlations (colored noise).

Regular part of response function

Singular part of the response function smeared with Gaussians

Fluctuations in the local temperature and flow velocity fields give rise to a nontrivial 2-particle correlation function when the fluid elements freeze-out to free-streaming hadrons.

Magnitude and shape of correlation function depend on shear viscosity

3D viscous - smooth initial conditions 3D viscous - lumpy initial conditions McGill group

Will hydrodynamic fluctuations have an impact on our ability to discern a critical point in the phase diagram (if one exists)?

quarks & gluons baryons & mesons What are the relevant degrees of freedom? What happens to confinement?

Expansion away from equilibrium states using Landau theory 0 along coexistence curve The relative probability to be at a density other than the equilibrium one is

Volume = 400 fm 3

=(n-n c )/n c

Look in a window of longitudinal and transverse rapidities to correlate position and momentum space. (CMB: spherical symmetry / High Energy Nuclear Collisions: cylindrical symmetry)

Many Accelerators Relativistic Heavy Ion Collider (RHIC) low energy runs - BNL Facility for Antiproton and Ion Research (FAIR) - Germany SPS Heavy Ion and Neutrino Experiment (SHINE) - CERN Nuclotron-based Ion Collider Facility (NICA) - Dubna

Summary Fluctuations are interesting and provide essential information on transport coefficients. We are learning and are having fun. There is plenty of work for both theorists and experimentalists! Supported by the Office Science, U.S. Department of Energy.